42435360 has 384 divisors, whose sum is σ = 174182400. Its totient is φ = 9538560.

The previous prime is 42435359. The next prime is 42435361. The reversal of 42435360 is 6353424.

It is an interprime number because it is at equal distance from previous prime (42435359) and next prime (42435361).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42435361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 902857 + ... + 902903.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^42435360 is an apocalyptic number.

42435360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42435360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

42435360 is an abundant number, since it is smaller than the sum of its proper divisors (131747040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42435360 is a wasteful number, since it uses less digits than its factorization.

42435360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 42435360 is about 6514.2428570019. The cubic root of 42435360 is about 348.7995882777.

Adding to 42435360 its reverse (6353424), we get a palindrome (48788784).

The spelling of 42435360 in words is "forty-two million, four hundred thirty-five thousand, three hundred sixty".